Issue 62

P. Ghannadi et alii, Frattura ed Integrità Strutturale, 62 (2022) 460-489; DOI: 10.3221/IGF-ESIS.62.32

damage detection methodology.

 Result and Finding : This section is a summary of the main outcomes of the papers. Reference Year Objective Methodology Structure

Result and Finding

Mouser and Dunn [77]

2005 Comparing the performance of GA and PSO in updating mass, stiffness, and damping through an inverse solution. 2008 This study discusses the difficulty of damage detection by only using natural frequencies and the optimization problem is solved via a modified version of PSO. 2008 An improved version based on the sigmoid function has been developed to address the convergence drawback of PSO and is subsequently employed for the damage detection problems. 2009 A simple procedure based on Nelder–Mead algorithm is proposed to control the parameters of PSO.

Optimization algorithms were applied to minimize the difference between the measured frequency response functions (FRFs) and the calculated ones. Firstly, a model parameter modification is conducted to organize an acceptable agreement between the experimental and numerical models. Then, the first three natural frequencies are inserted into the objective function to recognize the damage properties. An objective function is defined through the differences between the healthy and damaged dynamic characteristics to discover the damaged member and the extent of the damage. An objective function is formulated using FRFs.

Mass – spring – damper system

PSO is configured easily and yielded much better results compared to GA. Generally, the method introduced in this paper is capable of detecting the single damages and its accuracy declines when facing multiple damages. The results of this paper have revealed that the improved PSO can effectively modify the convergence rate of the standard PSO and provides a better solution to detect single and multiple damages. The proposed version of PSO can accurately detect the location and severity of the damage even when inserting incomplete and noisy data. Additionally, this algorithm has outperformed the standard PSO and simulated annealing (SA) when solving benchmark functions. The comparative results of damage detection illustrate the efficiency of the second objective function and the modified PSO with macroeconomic strategies. The hybrid PSO-GA provided a more accurate tool for damage detection. PSO is a fast algorithm, and

Free-Free beam

Saada et al. [78]

Plane frame

Yu and Wan [79]

Begambre and Laier [80]

Planar truss Free–Free beam

Simply supported beam Continuously supported beam

Two objective functions are employed to minimize the discrepancy between the modal data under healthy and damaged conditions. The first objective function is based on MAC and natural frequency. The second one includes modal flexibility. Minimizing the sum of the square of deviations between the measured and estimated accelerations as an objective function.

Yu and Chen [81]

2010 The standard PSO has been improved by macroeconomic strategies to solve the multi objective optimization problems on damage detection.

Sandesh and Shankar [82]

2010 Developing an accurate hybrid optimization algorithm

Aluminum plate

combining GA and PSO to address the inverse problem of crack detection in the time domain.

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